Question

A potter is making cps and takes her 6min to make a cup and 3min to make aplate .each cup uses 3/4lb of clay and each plates uses 1 lb of clay .she has 20 hours available to making the cups and plates and has 250lb of clay on hand .she make a profit of 2birr from each cup and 1.50 birr from each many cups and how many plates should she make in orders to maximize her profit​?

Answer 1

To maximize her profit, the potter should make 250 plates.

Step-by-step explanation:

In order to maximize her profit, the potter needs to determine the number of cups and plates she should make within the given time and amount of clay.

First, let's calculate the time it takes to make one cup and one plate: 6 minutes for a cup and 3 minutes for a plate.

Next, let's calculate the number of cups and plates she can make within the available 20 hours:

(20 hours x 60 minutes) / 6 minutes per cup = 200 cups

(20 hours x 60 minutes) / 3 minutes per plate = 400 plates

Now, let's calculate the amount of clay required to make the cups and plates:

200 cups x 3/4 lb of clay per cup = 150 lbs of clay for cups

400 plates x 1 lb of clay per plate = 400 lbs of clay for plates

She can only make 250 lbs of clay, so she should use all the clay to make plates:

250 lbs of clay / 1 lb of clay per plate = 250 plates

Therefore, the potter should make 250 plates in order to maximize her profit.